23 citations · 57 across the 12 of their papers we have counts for
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math.AG2020★ 3 cited
On the Bogomolov-Gieseker inequality in positive characteristic
Naoki Koseki
We prove a version of the Bogomolov-Gieseker inequality on smooth projective surfaces of general type in positive characteristic, which is stronger than the result by Langer when t…
math.AG2020★ 3 cited
On the Bogomolov-Gieseker inequality for hypersurfaces in the projective spaces
Naoki Koseki
We investigate the stronger form of the Bogomolov-Gieseker inequality on smooth hypersurfaces in the projective space of any degree and dimension. The main technical tool is the th…
math.AG2020★ 6 cited
Stability conditions on Calabi-Yau double/triple solids
Naoki Koseki
In this paper, we prove a stronger form of the Bogomolov-Gieseker (BG) inequality for stable sheaves on two classes of Calabi-Yau threefolds, namely, weighted hypersurfaces inside…